(x+1)(6x-1)+(1+2x)(-3x-1)=0

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Solution for (x+1)(6x-1)+(1+2x)(-3x-1)=0 equation:


Simplifying
(x + 1)(6x + -1) + (1 + 2x)(-3x + -1) = 0

Reorder the terms:
(1 + x)(6x + -1) + (1 + 2x)(-3x + -1) = 0

Reorder the terms:
(1 + x)(-1 + 6x) + (1 + 2x)(-3x + -1) = 0

Multiply (1 + x) * (-1 + 6x)
(1(-1 + 6x) + x(-1 + 6x)) + (1 + 2x)(-3x + -1) = 0
((-1 * 1 + 6x * 1) + x(-1 + 6x)) + (1 + 2x)(-3x + -1) = 0
((-1 + 6x) + x(-1 + 6x)) + (1 + 2x)(-3x + -1) = 0
(-1 + 6x + (-1 * x + 6x * x)) + (1 + 2x)(-3x + -1) = 0
(-1 + 6x + (-1x + 6x2)) + (1 + 2x)(-3x + -1) = 0

Combine like terms: 6x + -1x = 5x
(-1 + 5x + 6x2) + (1 + 2x)(-3x + -1) = 0

Reorder the terms:
-1 + 5x + 6x2 + (1 + 2x)(-1 + -3x) = 0

Multiply (1 + 2x) * (-1 + -3x)
-1 + 5x + 6x2 + (1(-1 + -3x) + 2x * (-1 + -3x)) = 0
-1 + 5x + 6x2 + ((-1 * 1 + -3x * 1) + 2x * (-1 + -3x)) = 0
-1 + 5x + 6x2 + ((-1 + -3x) + 2x * (-1 + -3x)) = 0
-1 + 5x + 6x2 + (-1 + -3x + (-1 * 2x + -3x * 2x)) = 0
-1 + 5x + 6x2 + (-1 + -3x + (-2x + -6x2)) = 0

Combine like terms: -3x + -2x = -5x
-1 + 5x + 6x2 + (-1 + -5x + -6x2) = 0

Reorder the terms:
-1 + -1 + 5x + -5x + 6x2 + -6x2 = 0

Combine like terms: -1 + -1 = -2
-2 + 5x + -5x + 6x2 + -6x2 = 0

Combine like terms: 5x + -5x = 0
-2 + 0 + 6x2 + -6x2 = 0
-2 + 6x2 + -6x2 = 0

Combine like terms: 6x2 + -6x2 = 0
-2 + 0 = 0
-2 = 0

Solving
-2 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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